27.09.2018 15:00 Rangel Baldasso (Bar Ilan University) :
Spread of an infection on the zero range processMI 02.08.011 (Boltzmannstr. 3, 85748 Garching)

We consider the spread of an infection on top of a moving population. The environment evolves as a zero range process on the integer lattice starting in equilibrium. At time zero, the set of infected particles is composed by those which are on the negative axis, while particles at the right of the origin are considered healthy. A healthy particle immediately becomes infected if it shares a site with an infected particle. We prove that the front of the infection wave travels to the right with positive and finite velocity.